(2x+3)(-3x+10)=0

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Solution for (2x+3)(-3x+10)=0 equation: 


Simplifying
(2x + 3)(-3x + 10) = 0

Reorder the terms:
(3 + 2x)(-3x + 10) = 0

Reorder the terms:
(3 + 2x)(10 + -3x) = 0

Multiply (3 + 2x) * (10 + -3x)
(3(10 + -3x) + 2x * (10 + -3x)) = 0
((10 * 3 + -3x * 3) + 2x * (10 + -3x)) = 0
((30 + -9x) + 2x * (10 + -3x)) = 0
(30 + -9x + (10 * 2x + -3x * 2x)) = 0
(30 + -9x + (20x + -6x2)) = 0

Combine like terms: -9x + 20x = 11x
(30 + 11x + -6x2) = 0

Solving
30 + 11x + -6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(10 + -3x)(3 + 2x) = 0


Subproblem 1
Set the factor '(10 + -3x)' equal to zero and attempt to solve:

Simplifying
10 + -3x = 0

Solving
10 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + -3x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 0 + -10
-3x = 0 + -10

Combine like terms: 0 + -10 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333

Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {3.333333333, -1.5}

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